In the AdS/CFT correspondence the boundary Ward identities are encoded in the bulk constraints. We study the three-dimensional version of this result using the Chern-Simons formulation of gravity. Due the metric boundary conditions the conformal identities cannot be derived in a straightforward way from the chiral ones. We pay special attention to this case and find the necessary modifications ...

We consider full perturbations to a covariantly defined Schwarzschild spacetime. By constructing complex quantities, we derive two decoupled, covariant and gauge-invariant, wave-like equations for spin-weighted scalars. These arise naturally from the Bianchi identities and comprise a covariant representation of the Bardeen-Press equations for scalars with spin-weight ±2. Furthermore, the covari...

By application of the Markov-WZ method, we prove a more general form of a bivariate generating function identity containing, as particular cases, Koecher’s and Almkvist-Granville’s Apéry-like formulae for odd zeta values. As a consequence, we get a new identity producing Apéry-like series for all ζ(2n+ 4m+ 3), n,m ≥ 0, convergent at the geometric rate with ratio 2−10.

Recently, constructing professional identity has received an increasing attention. By adopting and adapting analytical tools of critical discourse analysis (CDA), this study explored the ways through which identities of the qualitative researchers had been projected in 4 applied linguistics articles. This study intended to find out whether the authors of qualitative research articles in applied...

This paper is about ethnic identity. We first develop a model of an individual’s identity as resulting from the interaction of the individual’s identity choice, cultural transmission and socialization inside the family, peer effects and social interactions. We then put the model to data using the UK Fourth National Survey of Ethnic Minorities. We show that the main determinants of the intensity...

We propose a theoretical framework to study the determinants of ethnic and religious identity along two distinct motivational processes: cultural distinction and cultural conformity. Under cultural conformity, ethnic identity is reduced by neighborhood integration, which weakens group loyalties and prejudices. On the contrary, under cultural distinction, ethnic minorities are more motivated in ...

This research investigated an observer’s ability to track and maintain multiple uniquely identified objects in a dynamic environment similar to ATC. The experimental task consisted of tracking a set of moving objects for twenty seconds. The objects were 6-character strings; three letters followed by three numbers. After tracking the objects for twenty seconds, the participants were instructed t...

The use of concatenated Schnorr signatures [Sch91] for the hierarchical delegation of public keys is a well-known technique. In this paper we carry out a thorough analysis of the identity-based signature scheme that this technique yields. The resulting scheme is of interest since it is intuitive, simple and does not require pairings. We prove that the scheme is secure against existential forger...